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  1. Worksheet by Kuta Software LLC Geometry Extra Practice 45-45-90/30-60-90 Right Triangles Name_____ ID: 1 Date_____ Period____ ©H G2N0C1c6J HKWubtHan XSZoqfgtkwzaqrFeX GLzLuC[.T h zAqlZl\ jrEimgyhktzsp UrSejsmeprjvEeCdL.-1-Find the missing side lengths. Leave your answers as radicals in simplest form. 1) x 20 y

  2. Use sine, cosine, tangent, the Pythagorean Theorem and properties of special right triangles to solve right triangles in applied problems. Special right triangles refer to the 30-60-90 and 45-45-90 triangles.

  3. Special Right Triangles are triangles whose angles are in a particular ratio (30°, 60°, 90° and 45°, 45°, 90°). You can find the right triangle's third side by using the Pythagorean Theorem. It will become more best when you already know the two sides.

  4. Use the Pythagorean Theorem to find the length of the altitude BD, in simplest radical form. In a triangle with angle measures 30°, 60°, 90° you can find the lengths of all 3 sides, when you are only given 1 side.

  5. The Pythagorean Theorem states: If a triangle is a right triangle, then the sum of the squares of the lengths of the two legs of the triangle is equal to the square of the hypotenuse. Write the converse: __________________________________________________________________

  6. They are called 45 45 90 triangles, and 30 60 90 triangles. In this lesson, there is a free printable worksheet, an explanation of what makes these triangles special, how to spot them, and what you can do to find out more about one that’s in front of you using the Pythagorean Theorem and trigonometry – SOH CAH TOA.

  7. A right triangle has a leg with a length of 18 and a hypotenuse with a length of 36. Bernie notices that the hypotenuse is twice the length of the given leg, and decides it is a 30-60-90 triangle. (a) How does Bernie know this a 30-60-90 triangle? (b) Since this is a 30-60-90 triangle, what should the remaining leg length be?

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